349593886368 has 36 divisors (see below), whose sum is σ = 994157615178. Its totient is φ = 116531295360.

The previous prime is 349593886319. The next prime is 349593886417. The reversal of 349593886368 is 863688395943.

349593886368 is a `hidden beast` number, since 349 + 5 + 93 + 88 + 63 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (349593886319) and next prime (349593886417).

It can be written as a sum of positive squares in only one way, i.e., 197765205264 + 151828681104 = 444708^2 + 389652^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 349593886296 and 349593886305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 606933543 + ... + 606934118.

Almost surely, 2^349593886368 is an apocalyptic number.

It is an amenable number.

349593886368 is an abundant number, since it is smaller than the sum of its proper divisors (644563728810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349593886368 is a wasteful number, since it uses less digits than its factorization.

349593886368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213867677 (or 1213867666 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 349593886368 in words is "three hundred forty-nine billion, five hundred ninety-three million, eight hundred eighty-six thousand, three hundred sixty-eight".